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Finding the Third Proportional to 47,882 and 76,035

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Solution

The third proportional to 47,882 and 76,035 is: 120,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,882 : 76,035 = 76,035 : x
  2. Step 2: Convert to fraction form
    47,882/76,035 = 76,035/x
  3. Step 3: Cross multiply
    47,882x = 76,035 × 76,035
  4. Step 4: Simplify right side
    47,882x = 5,781,321,225
  5. Step 5: Solve for x
    x = 5,781,321,225/47,882
  6. Step 6: Final answer
    x = 120,741.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.